What logarithmic function represents the data in the table? x f (x) 1 0 3 1 9 2

Assuming the following columns: (1,0), (3,1), (9,2), then we have:

f (x) = log_a (x), where log_a means logarithm in base a.

x=1, log_a (1) = 0 (ok)

x=3, log_a (3) = 1, a¹=3, so the base in 3

f (x) = log_3 (x)

x=9, log_3 (9) = log_3 (3²) = 2 (ok)

Answer: f (x) = log_3 (x)

f (x) = log3 (x)

Step-by-step explanation:

y = log3 (x)

log3: log with base 3